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Finding the Third Proportional to 339.20 and 742.48

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Solution

The third proportional to 339.20 and 742.48 is: 1,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.20 : 742.48 = 742.48 : x
  2. Step 2: Convert to fraction form
    339.20/742.48 = 742.48/x
  3. Step 3: Cross multiply
    339.20x = 742.48 × 742.48
  4. Step 4: Simplify right side
    339.20x = 551,275.66
  5. Step 5: Solve for x
    x = 551,275.66/339.20
  6. Step 6: Final answer
    x = 1,625.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.